Question

if x - y=9 , xy=16 find the value of x square + y square​

Answer 1

Answer:

113

Step-by-step explanation:

(x-y)^2=9^2

x^2+y^2=81+2xy

x^2+y^2=81+32

x^2+y^2=113

Answer 2

Answer: 113

Step-by-step explanation:

Given: x-y=9

xy=16

To find: $x^{2}+y^{2}$

Using formula: $(a-b)^{2}=a^{2}+b^{2}-2ab$

Solution:

x-y=9

Squaring both the sides,

$(x-y)^{2}= 9^{2}\\\\x^{2} +y^{2} -2xy=81\\\\x^{2}+y^{2}-2*16=81\\\\x^{2}+y^{2}-32=81\\\\x^{2}+y^{2}=81+32\\\\x^{2}+y^{2}=113$

Hope it helps!